TY - JOUR ID - 5825 TI - Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Haq, Fazal AU - Shah, Kamal AU - Rahman, Ghaus-UR- AU - Shahzad, Muhammad AD - Department of Mathematics, Hazara University Mansehra, Pakistan AD - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan AD - Department of Mathematics and Statistics, University of Swat, Pakistan Y1 - 2017 PY - 2017 VL - 5 IS - 1 SP - 1 EP - 11 KW - Infectious diseases models, Fractional Derivatives, Laplace transform , Adomian decomposi- tion method KW - Analytical solution DO - N2 - In this article, we present a fractional order HIV-1 infection model of CD4+ T-cell. We analyze the effect of the changing the average number of the viral particle N with initial conditions of the presented model. The Laplace Adomian decomposition method is applying to check the analytical solution of the problem. We obtain the solutions of the fractional order HIV-1 model in the form of infinite series. The concerned series rapidly converges to its exact value. Moreover, we compare our results with the results obtained by Runge-Kutta method in case of integer order derivative. UR - https://cmde.tabrizu.ac.ir/article_5825.html L1 - https://cmde.tabrizu.ac.ir/article_5825_f4866fc1855d93e48a17375f970401ef.pdf ER -